755-(56•4+8)•3

To solve the expression \( 755 - (56 \cdot 4 + 8) \cdot 3 \), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

1. Calculate inside the parentheses first: \[ 56 \cdot 4 = 224 \] Now, add 8: \[ 224 + 8 = 232 \]

2. Now substitute back into the expression: \[ 755 - (232) \cdot 3 \]

3. Next, multiply: \[ 232 \cdot 3 = 696 \]

4. Now substitute back into the expression: \[ 755 - 696 \]

5. Finally, subtract: \[ 755 - 696 = 59 \]

Thus, the final result is \( \boxed{59} \).